Matlab Program For Dolph Chebyshev Array

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Package: sigwin

Matlab Program For Dolph Chebyshev Array Example
Matlab Program For Dolph Chebyshev Array 2
Matlab Program For Dolph Chebyshev Array Calculator

The method develops in two steps. At first it generates, by means of a suitable Chebyshev polynomial, a reference pattern satisfying the conditions imposed by the synthesis problem. Subsequently, it determines the solution as the array pattern minimizing the mean-square distance from the reference pattern. Leung, A Dolph-Chebyshev approach to the synthesis of array patterns for uniform circular arrays, in: Proceedings ISCAS, Geneva, Switzerland, vol. Press, Cambridge, UK, 2004. Ye, CVX: Matlab software for disciplined convex programming, 2008.

Construct Dolph-Chebyshev window object

Description

Note

The use of sigwin.chebwin is not recommended.Use chebwin instead.

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sigwin.chebwin creates a handle to a Dolph-Chebyshevwindow object for use in spectral analysis and FIR filtering by thewindow method. Object methods enable workspace import and ASCII fileexport of the window values.

The Dolph-Chebyshev window is constructed in the frequency domainby taking samples of the window's Fourier transform:

$\hat{W} (k) = {(- 1)}^{k} \frac{\cos [N \cos^{- 1} [β \cos (π k / N)]]}{\cosh [N \cosh^{- 1} (β)]}, 0 \leq k \leq N - 1$

where

$α$ determines the level of thesidelobe attenuation. The level of the sidelobe attenuation is equalto $- 20 α$ . For example, 100 dB of attenuationresults from setting $α = 5$

Matlab program for dolph chebyshev array in excel

The discrete-time Dolph-Chebyshev window is obtained by takingthe inverse DFT of $\hat{W} (k)$ and scaling theresult to have a peak value of 1.

Matlab Program For Dolph Chebyshev Array Example

Construction

H = sigwin.chebwin returns a Dolph-Chebyshevwindow object H of length 64 with relative sidelobeattenuation of 100 dB.

H = sigwin.chebwin(Length) returnsa Dolph-Chebyshev window object H of length Length withrelative sidelobe attenuation of 100 dB. Length requiresa positive integer. Entering a positive noninteger value for Length roundsthe length to the nearest integer. A window length of 1 results ina window with a single value equal to 1.

H = sigwin.chebwin(Length,SidelobeAtten) returnsa Dolph-Chebyshev window object with relative sidelobe attenuationof atten_param dB.

Properties

`Length`	Dolph-Chebyshev window length.
`SidelobeAtten`	The attenuation parameter in dB. The attenuation parameter isa positive real number that determines the relative sidelobe attenuationof the window.

Matlab Program For Dolph Chebyshev Array 2

Methods

generate	Generates Dolph-Chebyshev window
info	Display information about Dolph–Chebyshev windowobject
winwrite	Save Dolph-Chebyshev window object values in ASCII file

Copy Semantics

Handle. To learn how copy semantics affect your use of the class,see CopyingObjects (MATLAB) in the MATLAB^® Programming Fundamentals documentation.

Examples

Generate a Dolph-Chebyshev window of length N = 16. Specify a relative sidelobe attenuation of 40 dB. Return the window values as a column vector. Show information about the window object. Display the window.

Matlab Program For Dolph Chebyshev Array Calculator

References

harris, fredric j. “On the Use of Windows for HarmonicAnalysis with the Discrete Fourier Transform.” Proceedingsof the IEEE^®. Vol. 66, January 1978, pp. 51–83.